Math with Bad DrawingsCartoon Archive

Tug of War over 0⁰

2024

Two teams play tug of war over 0⁰: one insists anything to the zero is 1, the other that zero to any power is 0.

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Free for classrooms, worksheets, slides and other non-commercial use under CC BY-NC 4.0, with credit to Ben Orlin.

Cartoon by Ben Orlin, Math with Bad Drawings. https://cartoons.mathwithbaddrawings.com/2024-01-01-tug-of-war-over-0/ (CC BY-NC 4.0)
Transcript

[0⁰ in the middle of a tug of war: "Help!"] Left team: "Zeroth powers are always 1!" Right team: "Powers of zero are always zero!"

Topics
Number & Arithmetic › Exponents › Zero ExponentNumber & Arithmetic › ZeroCalculus › Limits › Indeterminate Forms
Level
Middle SchoolHigh SchoolCalculus
Themes
Puzzles & ProblemsSportsMath Culture